Strip away the marketing on both sides and this is a narrow comparison. A good bar and a good liquid clean hair equally well. The real differences are everything around the wash: plastic, weight, travel, cost, and habit.
Cleaning power is the part that's identical. A well-made, pH-balanced bar lathers and cleans like good liquid shampoo, because it's built from the same gentle surfactants, just without the water. If you're worried a bar can't keep up, it can, and the longer version is in do shampoo bars actually work.
Where the bar wins is everything around the edges of the wash. There's no plastic, no bottle to recycle, downcycle, or send to landfill, because the bar arrives in paper. There's no shipping water either, since liquid shampoo is mostly water and a bar is just the concentrate, which is also why it travels so well: no three-ounce cap, no leaks, no spills in your bag, nothing for security to question. And it lasts. One bar, stored dry, outlasts a comparable bottle. It does the work of three.
Where liquid wins comes down to two honest points. The first is familiarity. You already know how to use it, with no technique to learn and no chance of an adjustment week, where a bar asks for a little of both, covered in how to use a shampoo bar and the transition period. The second is dispensing. A pump is effortless, and for some households that convenience is the whole decision. We're not going to pretend otherwise.
The per-wash math
Compare a bar to prestige liquid shampoo, not to the cheapest bottle on the shelf. Against an Aesop or an Oribe, the per-wash cost of a well-made bar is lower, the ingredient list is cleaner, and there's no plastic in the equation. Different category, better math.
So which should you pick. If you want less plastic, easier travel, and a longer-lasting wash, and you don't mind a short learning curve, the bar is the better object. If absolute convenience and zero change outrank everything else, liquid still has a case. Most people who switch for the plastic stay for the performance. If you're leaning bar, start with a pH-balanced one built for daily use, like the Coconut Oat Shampoo Bar, and pair it with the Cocoa Almond Conditioning Bar if your hair likes conditioner. Same clean either way. The bar just trades a pump for less plastic, less weight, and easier travel. The question was never whether it works. It's whether those trades are worth a week of getting used to it. For most people, they are. Good things take time. Let it cure.